History of the Los Angeles Rams By matthew_olivia 1937 Cleveland Rams are established in the NFL 1945 Defeated the Washington Redskins for first NFL Championship 1946 Rams move to Los Angeles 1946 Kenny Washington and Woody Strode are first two African American players signed 1965 "Fearsome Foursome" 1979 First Super Bowl Appearance against the Pittsburgh Steelers 1980 Moved from Los Angeles Coliseum to Anaheim 1984 Dickerson sets rushing mark with 2,105 yards 1995 Rams relocate to St. Louis 1999 "Greatest Show on Turf" wins first Super Bowl 2016 Rams come back home to Los Angeles